27810134352 has 1200 divisors, whose sum is σ = 116243309952. Its totient is φ = 6210846720.

The previous prime is 27810134347. The next prime is 27810134357. The reversal of 27810134352 is 25343101872.

27810134352 is a `hidden beast` number, since 278 + 1 + 0 + 1 + 34 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (27810134347) and next prime (27810134357).

It is a super-3 number, since 3×27810134352³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27810134357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 286702368 + ... + 286702464.

Almost surely, 2^27810134352 is an apocalyptic number.

27810134352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27810134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121654976).

27810134352 is an abundant number, since it is smaller than the sum of its proper divisors (88433175600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27810134352 is a wasteful number, since it uses less digits than its factorization.

27810134352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27810134352 in words is "twenty-seven billion, eight hundred ten million, one hundred thirty-four thousand, three hundred fifty-two".